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Finding the Fourth Proportional to 20,200.89, 30,302.97 and 5,409.69

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Solution

The fourth proportional to 20,200.89, 30,302.97 and 5,409.69 is: 8,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.89 : 30,302.97 = 5,409.69 : x
  2. Step 2: Convert to fraction form
    20,200.89/30,302.97 = 5,409.69/x
  3. Step 3: Cross multiply
    20,200.89x = 30,302.97 × 5,409.69
  4. Step 4: Simplify right side
    20,200.89x = 163,929,673.78
  5. Step 5: Solve for x
    x = 163,929,673.78/20,200.89
  6. Step 6: Final answer
    x = 8,114.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.